Bethe vectors and recurrence relations for twisted Yangian based models

2023/02/23 by Regelskis, Vidas · 1 citation
#17B37 (Secondary) #82B23 (Primary) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2302.11842

Abstract

We study Olshanski twisted Yangian based models, known as one-dimensional "soliton non-preserving" open spin chains, by means of algebraic Bethe ansatz. The even case, when the bulk symmetry is \mathfrakgl_2n and the boundary symmetry is \mathfraksp_2n or \mathfrakgl_2n, was studied in arXiv:1710.08409. In the present work, we focus on the odd case, when the bulk symmetry is \mathfrakgl_2n+1 and the boundary symmetry is \mathfrakso_2n+1. We explicitly construct Bethe vectors and present a more symmetric form of the trace formula. We use the composite model approach and Y(\mathfrakgl_n)-type recurrence relations to obtain recurrence relations for twisted Yangian based Bethe vectors, for both even and odd cases.

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• Minimalistic Presentation and Coideal Structure of Twisted Yangians

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